9x⁹ - 90x⁸ - 351x⁷
What do each of these numbers have in common?
They ALL have 9x⁷ in them!
So, divide each one of these by 9x⁷
9x⁹ ÷ 9x⁷ = 9x²
-90x⁸ ÷ 9x⁷ = -9x
-351x⁷ ÷ 9x⁷ = -39
So, factorized completely, it is :
9x² - 9x - 39
~Hope I helped!~
Answer:
17/12 = 1 5/12
Step-by-step explanation:
The common denominator of 4 and 3 is 12.
The equivalent fraction of 3/4 is 9/12.
The equivalent fraction of 2/3 is 8/12.
Their total is 17/12 (or 1 5/12).
Answer:
Step-by-step explanation:
A=πr2
= (3.14)(27)2
= 2289.06
Answer: $1000
Step-by-step explanation:
Annual demand (D) = 8000
Cost per order (S) = $1000
Cost per unit to print = $8 per book
Storage cost = $2 per book per year
The minimum total cost can be found thus :
√(2 × D × S) / storage cost * cost per unit
√(2 × 8000 × 1000) / (2 * 8)
√ (16,000,000 / 16
√ (1,000,000
= 1000
Hence , minimum total cost $1000
Step-by-step explanation:
I think you mean triangle XYZ. and angle XYZ.
so, the angle at Y is 90°.
that makes XZ the Hypotenuse (baseline opposite of the 90° angle) of the right-angled triangle.
so, we can actually use Pythagoras (we don't need the area of the triangle to solve) :
13² = 12² + YZ²
169 = 144 + YZ²
25 = YZ²
YZ = 5 cm
just to check - the area of this triangle is (remember, it is a right-angled triangle, so XY and YZ serve also as baseline and height) :
area = 12 × 5 / 2 = 60/2 = 30 cm²
correct, it fits.